Representation fields for orders of small rank

DOI10.4067/S0716-09172017000100008zbMath1381.11109arXiv1305.4310MaRDI QIDQ4604446

Luis Arenas-Carmona

Publication date: 26 February 2018

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4310

zbMATH Keywords

central simple algebrasmaximal ordersspinor generarepresentations of orders

Mathematics Subject Classification ID

Quaternion and other division algebras: arithmetic, zeta functions (11R52) Other algebras and orders, and their zeta and (L)-functions (11R54) Orders in separable algebras (16H10)

Cites Work

• Representation fields for commutative orders
• Selectivity in division algebras
• Embedding orders into central simple algebras
• Relative spinor class fields: a counterexample
• Riemann-Roch theorem for locally principal orders
• Applications of spinor class fields: embeddings of orders and quaternionic lattices.
• Computing quaternion quotient graphs via representations of orders
• Local diophantine properties of modular curves of 𝒟-elliptic sheaves
• Roots of unity in definite quaternion orders
• An Embedding Theorem for Quaternion Algebras
• Representations of indefinite quadratic forms
• Representation fields for cyclic orders

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